Question

1. find the value of x for which l is parallel to m. the figure is not to scale. 90 150 60 30

Explanation:

Step1: Use the property of parallel lines and transversal

When \(l\parallel m\), we can use the property that the sum of the interior angles on the same side of a transversal is \(180^{\circ}\). Let's assume the angle formed by the transversal with \(l\) and \(m\) follows the angle - addition rule. If we consider the angles \(30^{\circ}\) and \(60^{\circ}\), we know that \(x = 30 + 60\) (by the property of alternate - interior angles and angle addition for parallel lines).

Answer:

\(90\)